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Monte Carlo Renormalization Group Method to Study the First-Order Phase Transition in the Complex Ferromagnet |
| MENG Qing-Kuan**, FENG Dong-Tai, GAO Xu-Tuan |
School of Science, Shandong University of Technology, Zibo 255049
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MENG Qing-Kuan, FENG Dong-Tai, GAO Xu-Tuan 2015 Chin. Phys. Lett. 32 120501 |
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Abstract An improved Monte Carlo renormalization group method is established. Based on a new model, as well as the generalized Glauber dynamics, the first-order phase transition is studied in the Erd?s–Rényi network, which is used to represent the complex ferromagnet. Both static and dynamic critical exponents can be evaluated simultaneously, and the static critical exponents are evaluated to be independent of the dimension of the system. Thus by using the hyperscaling relation νd*=2?α, the effective dimension d* of complex networks can be found.
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Received: 02 June 2015
Published: 05 January 2016
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